On sequentially Cohen-Macaulay modules

By Nguyễn Tứ Cường, D. T. Cuong. 2005

55 citations recorded by the source corpus.

In this paper we present characterizations of sequentially Cohen-Macaulay modules in terms of systems of parameters, which are generalizations of well-known results on Cohen-Macaulay and generalized Cohen-Macaulay modules. The sequentially CohenMacaulayness of Stanley-Reisner rings of small embedding dimension are also examined.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9d63730da3a74b44313d804a5adfa3e36a169449

Citations in the corpus

• Cohen–Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals (2010, unknown): “See also [2, 14, 15].”